Résumés > Paoli Laetitia

Motivated by applications to hemodynamics, we consider the non-stationary flow of a micropolar fluid through an channel with an impervious wall and an elastic stiff wall. We assume that the elastic wall is composed of several layers with different elastic caracteristics. We assume also that the channel is infinite in one direction and the problem is periodic in the same direction. We derive a variational formulation of this fluid-structure interaction problem and we prove the existence and uniqueness of the solution. Then, under suitable data regularity, we prove that the fluid pressure is unique and we show that the solution to the variational problem is solution to the physical system as well.